y=-7x+12

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Find the values of m and b using the form y=mx+b.

m=-7

b=12

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: -7

y-intercept: 12

Slope: -7

y-intercept: 12

Choose 0 to substitute in for x to find the ordered pair.

Replace the variable x with 0 in the expression.

f(0)=-7⋅0+12

Simplify the result.

Multiply -7 by 0.

f(0)=0+12

Add 0 and 12.

f(0)=12

The final answer is 12.

12

12

The y value at x=0 is 12.

y=12

y=12

Choose 1 to substitute in for x to find the ordered pair.

Replace the variable x with 1 in the expression.

f(1)=-7⋅1+12

Simplify the result.

Multiply -7 by 1.

f(1)=-7+12

To write -7 as a fraction with a common denominator, multiply by 22.

f(1)=-7⋅22+12

Combine -7 and 22.

f(1)=-7⋅22+12

Combine the numerators over the common denominator.

f(1)=-7⋅2+12

Simplify the numerator.

Multiply -7 by 2.

f(1)=-14+12

Add -14 and 1.

f(1)=-132

f(1)=-132

Move the negative in front of the fraction.

f(1)=-132

The final answer is -132.

-132

-132

The y value at x=1 is -132.

y=-132

y=-132

Create a table of the x and y values.

xy0121-132

xy0121-132

Graph the line using the slope and the y-intercept, or the points.

Slope: -7

y-intercept: 12

xy0121-132

Graph y=-7x+1/2